10086144000 has 384 divisors, whose sum is σ = 35078883840. Its totient is φ = 2568192000.

The previous prime is 10086143999. The next prime is 10086144007. The reversal of 10086144000 is 44168001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17663715 + ... + 17664285.

It is an arithmetic number, because the mean of its divisors is an integer number (91351260).

Almost surely, 2^10086144000 is an apocalyptic number.

10086144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10086144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539441920).

10086144000 is an abundant number, since it is smaller than the sum of its proper divisors (24992739840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10086144000 is an equidigital number, since it uses as much as digits as its factorization.

10086144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 10086144000 in words is "ten billion, eighty-six million, one hundred forty-four thousand".